Home / 786-1,698

Finding the Third Proportional to 786 and 1,698

Calculator

Solution

The third proportional to 786 and 1,698 is: 3,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    786 : 1,698 = 1,698 : x
  2. Step 2: Convert to fraction form
    786/1,698 = 1,698/x
  3. Step 3: Cross multiply
    786x = 1,698 × 1,698
  4. Step 4: Simplify right side
    786x = 2,883,204
  5. Step 5: Solve for x
    x = 2,883,204/786
  6. Step 6: Final answer
    x = 3,668.20

Related Problems

Find third proportional to 393 and 849
Half scale
Find third proportional to 1,572 and 3,396
Double scale
Find third proportional to 788 and 1,702
Similar ratio
Find third proportional to 1,179 and 2,547
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.